sat_chen
integration of (sin^5x)*(cos^3x)dx



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hartnn
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split cos^3 x = cos x * cos^2 x
write cos^2 x = 1 sin^2 x
then its easy to see that u = sin x
du =cos x dx.

sat_chen
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so do you leave sin^5x as it is

hartnn
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yes,
then you'll use it...
s^5 (1s^2) c dx [s=sin, c=cos]

hartnn
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s^5 (1s^2) c dx = (s^5 s^7) cdx

sat_chen
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ah i see how that tricked me i tried to think it was a half angle formula or something

hartnn
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so, now can you solve that integral ?

sat_chen
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yea i can thanks a lot bro

hartnn
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welcome ^_^

sat_chen
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math not my best subject :P

hartnn
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it became my best subject, after lot of practicing :)

sat_chen
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1 question though can you split sin of x to solve also

hartnn
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yes,but that will be more complicated....but yes.

sat_chen
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ah i see ty again

sat_chen
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if i need help again asking you :P